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Finding the Fourth Proportional to 1,001.49, 1,380.81 and 779.97

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Solution

The fourth proportional to 1,001.49, 1,380.81 and 779.97 is: 1,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.49 : 1,380.81 = 779.97 : x
  2. Step 2: Convert to fraction form
    1,001.49/1,380.81 = 779.97/x
  3. Step 3: Cross multiply
    1,001.49x = 1,380.81 × 779.97
  4. Step 4: Simplify right side
    1,001.49x = 1,076,990.38
  5. Step 5: Solve for x
    x = 1,076,990.38/1,001.49
  6. Step 6: Final answer
    x = 1,075.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.